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An Introduction to the Theory of Reproducing Kernel Hilbert Spaces.
・ISBN 978-1-107-10409-9 hard GB£ 66.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-316-21923-2
| 著者・編者 | Paulsen, Vern I. / Raghupathi, Mrinal, |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2016 |
| ページ数 | 192 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-9875> |
解説
Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.